Estimation and Inference for Stochastic Volatility Models with Heavy-Tailed Distributions Staff working paper 2026-8 Gabriel Rodriguez Rondon, Jean-Marie Dufour, Md. Nazmul Ahsan Statistical inference--both estimation and testing--for stochastic volatility (SV) models is known to be challenging and computationally demanding. We propose simple and efficient estimators for SV models with conditionally heavy-tailed error distributions, particularly the Student’s t and Generalized Exponential Distributions (GED). The estimators rely on a small set of moment conditions derived from ARMA-type representations of SV models, with an option to apply “winsorization” to improve stability and finite-sample performance. Except for the degrees of-freedom parameter, closed-form expressions are available for all other parameters, extending Ahsan and Dufour (2019, 2021), thus eliminating the need for numerical optimization or initial values. We derive the estimators’ asymptotic distribution and show that, due to their analytical tractability, they support reliable, and even exact, simulation-based inference via Monte Carlo or bootstrap methods. We assess their performance through extensive simulations and demonstrate their practical relevance in financial return data, which strongly reject the normality assumption in favor of heavy-tailed models. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C1, C12, C13, C15, C2, C22, C5, C51, C53, C58 Research Theme(s): Financial markets and funds management, International markets and currencies, Models and tools, Econometric, statistical and computational methods, Economic models
Do Monetary Policy Shocks Affect the Neutral Rate of Interest? Staff working paper 2026-6 Danilo Leiva-Leon, Rodrigo Sekkel, Luis Uzeda Can monetary policy influence the neutral real interest rate (r-star)? Using a new statistical model, we show that interest rate hikes tend to lower r-star and long-run growth, but that monetary policy explains only a small share of the long-run decline in r-star. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C3, C32, C5, C51, E, E3, E32, E4, E44 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Monetary policy, Monetary policy framework and transmission, Monetary policy tools and implementation
The Sectoral Origins of Post-Pandemic Inflation Staff working paper 2025-37 Jan David Schneider This paper quantifies the contribution of sector-specific supply and demand shocks to personal consumption expenditure (PCE) inflation. It derives identification restrictions that are consistent with a large class of dynamic stochastic general equilibrium models with production networks. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C5, C50, E, E3, E31, E32 Research Theme(s): Models and tools, Econometric, statistical and computational methods, Monetary policy, Inflation dynamics and pressures
Pulse check: Measuring underlying inflation and its drivers Staff analytical note 2025-29 Luis Uzeda This note presents PULSE, a new measure of underlying inflation in Canada based on a dynamic factor model estimated on disaggregated inflation data. PULSE captures the persistent component of inflation and decomposes it into broad-based and sector-specific inflationary pressures. Content Type(s): Staff research, Staff analytical notes JEL Code(s): C, C5, C55, E, E3, E31, E5, E52 Research Theme(s): Financial system, Financial system regulation and oversight, Models and tools, Econometric, statistical and computational methods, Monetary policy, Inflation dynamics and pressures
Perceived interconnections between Canadian banks and non-bank financial intermediaries under stress Staff analytical note 2025-26 Javier Ojea Ferreiro I study the links between Canadian banks and non-bank financial intermediaries (NBFIs) by observing co-movements in stock prices. Perceived interconnections increased before the COVID-19 pandemic but have since stabilized, with the strongest ties seen between large banks and NBFIs. The secured credit line extended to Home Trust, a non-bank mortgage lender that experienced severe funding stress in 2017, significantly reduced banks' risk exposure to NBFIs during this episode. Content Type(s): Staff research, Staff analytical notes JEL Code(s): C, C5, C58, G, G0, G01, G2, G21, G23, G3, G32 Research Theme(s): Financial system, Financial institutions and intermediation, Financial stability and systemic risk
A Market-Based Approach to Reverse Stress Testing the Financial System Staff working paper 2025-32 Javier Ojea Ferreiro This article examines what market conditions lead to extreme losses in global financial systems. Using a reverse stress testing approach, it introduces two measures of systemic risk by starting from the tail losses and working backward to identify the events most closely associated with them. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C0, C02, C3, C32, C5, C58, G, G2, G21 Research Theme(s): Financial markets and funds management, Market functioning, Financial system, Financial institutions and intermediation, Financial stability and systemic risk
Simulating the Resilience of the Canadian Banking Sector Under Stress: An Update of the Bank of Canada’s Top-Down Solvency Assessment Tool Technical report No. 128 Omar Abdelrahman, David Xiao Chen, Cameron MacDonald, Adi Mordel, Guillaume Ouellet Leblanc We present a technical description of the Top-Down Solvency Assessment (TDSA) tool. As a solvency stress-testing tool, TDSA is used to assess the banking sector’s capital resilience to hypothetical future risk scenarios. Content Type(s): Staff research, Technical reports JEL Code(s): C, C2, C22, C5, C52, C53, G, G1, G17, G2, G21, G28 Research Theme(s): Financial system, Financial institutions and intermediation, Financial stability and systemic risk, Models and tools, Economic models
Financial Shocks and the Output Growth Distribution Staff working paper 2025-25 Francois-Michel Boire, Thibaut Duprey, Alexander Ueberfeldt This paper studies how financial shocks shape the distribution of output growth by introducing a quantile-augmented vector autoregression (QAVAR), which integrates quantile regressions into a structural VAR framework. The QAVAR preserves standard shock identification while delivering flexible, nonparametric forecasts of conditional moments and tail risk measures for gross domestic product. Content Type(s): Staff research, Staff working papers JEL Code(s): C, C3, C32, C5, C53, E, E3, E32, E4, E44, G, G0, G01 Research Theme(s): Financial system, Financial stability and systemic risk, Models and tools, Econometric, statistical and computational methods, Monetary policy, Real economy and forecasting
The impact of trading flows on Government of Canada bond prices Staff analytical note 2025-20 Andreas Uthemann, Rishi Vala, Jun Yang Trading flows affect Government of Canada bond prices. Our estimates suggest a sale of 1% of the available supply of bonds typically lowers bond prices by 0.2%. From 2000 to 2025, demand from institutional investors, such as Canadian pension funds and foreign investors, explains 69% of quarterly price variation, with the remainder explained by changes in the supply of bonds. Content Type(s): Staff research, Staff analytical notes JEL Code(s): C, C0, C01, C3, C36, C5, C58, D, D5, D53, E, E6, E62, G, G1, G11, G12, G2, G23 Research Theme(s): Financial markets and funds management, Funds management, Market functioning, Financial system, Financial stability and systemic risk
Estimating the inflation risk premium Staff analytical note 2025-9 Bruno Feunou, Gitanjali Kumar Is there a risk of de-anchoring of inflation expectations in the near term? We estimate the inflation risk premium using traditional asset pricing models to answer this question. The risk of de-anchoring is elevated compared with the period before the COVID-19 pandemic and is higher in the United States than in Canada. Content Type(s): Staff research, Staff analytical notes JEL Code(s): C, C2, C22, C5, C58, G, G1, G12 Research Theme(s): Financial markets and funds management, Market functioning, Models and tools, Econometric, statistical and computational methods, Economic models, Monetary policy, Inflation dynamics and pressures